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प्रश्न
Find the particular solution of the differential equation `(dy)/(dx) = y tan x`, given that y = 2 if x = 0.
बेरीज
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उत्तर
`(dy)/(dx) = y tan x -> (dy)/y = tan x dx`
Integrating,
`log y = int tan x dx`
log y = − log(cos x) + C
log y = log(sec x) + C
y = C sec x
Given y = 2 when x = 0:
2 = C sec 0 = C
∴ y = 2 sec x
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